Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 742/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.742 in Words
1.742 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.742 in words is one point seven four two.
1.742 Place-Value Breakdown
The digits 1 form the whole-number part, while 7 in the tenth place, 4 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 7 | tenth | 7/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 1.742?
1.742 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.742
1.742 = 1 + 7/10 + 4/100 + 2/1000
1.742 = 1 + 742/1000
1.742 = 1 371/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.742 Simplifies to 871/500
1.742 = 1742/1000
The greatest common divisor of 1742 and 1000 is 2.
1742 ÷ 2 = 871
1000 ÷ 2 = 500
Therefore, 1742/1000 = 871/500.
As a mixed fraction, the value is 1 371/500.
1.742 as a Percentage
To convert 1.742 to a percentage, multiply it by 100.
1.742 × 100 = 174.2
Therefore, 1.742 = 174.2%.
Decimals Equivalent to 1.742
1.742 = 1.7420 = 1.74200
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 1.742 | thousandths | 1742/1000 | 871/500 |
| 1.7420 | ten-thousandths | 17420/10000 | 871/500 |
| 1.74200 | hundred-thousandths | 174200/100000 | 871/500 |
1.742 on a Number Line
1.742 lies between 1 and 2. It is 0.258 below 2 and 0.742 above 1.
11.7422
1.742 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1742 | zero point one seven four two | one thousand seven hundred forty-two ten-thousandths | 871/5000 | 17.42% | ten times smaller than 1.742 |
| 1.742 | one point seven four two | one and seven hundred forty-two thousandths | 871/500 | 174.2% | current value |
| 1.7420 | one point seven four two zero | one and seven thousand four hundred twenty ten-thousandths | 871/500 | 174.2% | same numerical value, written to the ten-thousandths place |
| 17.42 | seventeen point four two | seventeen and forty-two hundredths | 871/50 | 1742% | ten times larger than 1.742 |
Quick Practice
How is 1.742 read digit by digit?
One point seven four two.
What is the place-value word form of 1.742?
One and seven hundred forty-two thousandths.
What fraction is 1.742 in lowest terms?
871/500.
What percentage is equal to 1.742?
174.2%.
What is 1.742 as a mixed fraction?
1 371/500.
Between which whole numbers does 1.742 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.742 in words?
1.742 in words is one point seven four two.
Why is 1.742 called one and seven hundred forty-two thousandths?
Because the digit 7 is in the thousandths place. Therefore, 1.742 represents one and seven hundred forty-two thousandths.
What fraction is 1.742?
1.742 is 1742/1000 exactly and 871/500 in lowest terms.
Can 1742/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 871/500.
What percentage is 1.742?
1.742 is equal to 174.2%.
Is 1.742 the same as 1.7420?
Yes. 1.742 and 1.7420 have the same numerical value. However, 1.742 is written to the thousandths place, while 1.7420 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.742 larger than 0.1742?
Yes. 1.742 is ten times as large as 0.1742.
What type of decimal is 1.742?
1.742 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and seven hundred forty-two thousandths.